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Finding the Fourth Proportional to 34,807.50, 48,034.35 and 19,906.38

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Solution

The fourth proportional to 34,807.50, 48,034.35 and 19,906.38 is: 27,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,807.50 : 48,034.35 = 19,906.38 : x
  2. Step 2: Convert to fraction form
    34,807.50/48,034.35 = 19,906.38/x
  3. Step 3: Cross multiply
    34,807.50x = 48,034.35 × 19,906.38
  4. Step 4: Simplify right side
    34,807.50x = 956,190,024.15
  5. Step 5: Solve for x
    x = 956,190,024.15/34,807.50
  6. Step 6: Final answer
    x = 27,470.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.